"We are analyzing the case with full responsibility and, as we have said a thousand times, we have no deadline to make a decision," Correa said.
"That decision will be absolutely sovereign and ... (show) respect for human rights," he added.
Assange remained holed up at Ecuador's embassy in London on Saturday, defying a British police order to turn himself in for extradition to Sweden where he is sought on sex crime allegations.
The 40-year-old Australian insists those allegations are part of a politically-motivated effort to get him extradited to the United States, where he fears he could be put on trial for espionage or other crimes.
WikiLeaks enraged Washington by publishing a flood of secret information about the wars in Iraq and Afghanistan, as well as more than 250,000 confidential US diplomatic cables.
Assange's supporters paint him as a whistle-blowing hero but his critics denounce him as a traitorous anarchist. He sought refuge at Ecuador's embassy in London on June 19th.
Correa has often been at odds with Washington and offered Assange asylum in 2010.